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20749104 = 2432891619
BaseRepresentation
bin100111100100…
…1101100110000
31110001011102100
41033021230300
520302432404
62020420400
7341236005
oct117115460
943034370
1020749104
1110792122
126b47700
1343b639c
142a818ac
151c4cd39
hex13c9b30

20749104 has 60 divisors (see below), whose sum is σ = 58757400. Its totient is φ = 6834432.

The previous prime is 20749103. The next prime is 20749117. The reversal of 20749104 is 40194702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20749103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12007 + ... + 13625.

It is an arithmetic number, because the mean of its divisors is an integer number (979290).

Almost surely, 220749104 is an apocalyptic number.

20749104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20749104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29378700).

20749104 is an abundant number, since it is smaller than the sum of its proper divisors (38008296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20749104 is a wasteful number, since it uses less digits than its factorization.

20749104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20749104 is about 4555.1184397335. The cubic root of 20749104 is about 274.7892776910.

The spelling of 20749104 in words is "twenty million, seven hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 1619 2136 3204 3238 4272 4857 6408 6476 9714 12816 12952 14571 19428 25904 29142 38856 58284 77712 116568 144091 233136 288182 432273 576364 864546 1152728 1296819 1729092 2305456 2593638 3458184 5187276 6916368 10374552 20749104